138114 has 12 divisors (see below), whose sum is σ = 299286. Its totient is φ = 46032.

The previous prime is 138113. The next prime is 138139. The reversal of 138114 is 411831.

138114 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 27225 = 333^2 + 165^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7673 = 138114 / (1 + 3 + 8 + 1 + 1 + 4).

It is a Curzon number.

It is a plaindrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138114.

It is not an unprimeable number, because it can be changed into a prime (138113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3819 + ... + 3854.

2¹³⁸¹¹⁴ is an apocalyptic number.

138114 is an abundant number, since it is smaller than the sum of its proper divisors (161172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138114 is a wasteful number, since it uses less digits than its factorization.

138114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7678 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 138114 is about 371.6369195868. The cubic root of 138114 is about 51.6907183659.

Adding to 138114 its reverse (411831), we get a palindrome (549945).

It can be divided in two parts, 138 and 114, that added together give a palindrome (252).

The spelling of 138114 in words is "one hundred thirty-eight thousand, one hundred fourteen".